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Gibbs Semigroups, Valentin A. Zagrebnov


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Автор: Valentin A. Zagrebnov
Название:  Gibbs Semigroups
ISBN: 9783030188764
Издательство: Springer
Классификация:

ISBN-10: 3030188760
Обложка/Формат: Hardcover
Страницы: 320
Вес: 0.67 кг.
Дата издания: 2019
Серия: Operator Theory: Advances and Applications
Язык: English
Издание: 1st ed. 2019
Иллюстрации: Approx. 350 p.
Размер: 234 x 156 x 19
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book focuses on the theory of the Gibbs semigroups, which originated in the 1970s and was motivated by the study of strongly continuous operator semigroups with values in the trace-class ideal. The book offers an up-to-date, exhaustive overview of the advances achieved in this theory after half a century of development. It begins with a tutorial introduction to the necessary background material, before presenting the Gibbs semigroups and then providing detailed and systematic information on the Trotter-Kato product formulae in the trace-norm topology. In addition to reviewing the state-of-art concerning the Trotter-Kato product formulae, the book extends the scope of exposition from the trace-class ideal to other ideals. Here, special attention is paid to results on semigroups in symmetrically normed ideals and in the Dixmier ideal.By examining the progress made in Gibbs semigroup theory and in extensions of the Trotter-Kato product formulae to symmetrically normed and Dixmier ideals, the book shares timely and valuable insights for readers interested in pursuing these subjects further. As such, it will appeal to researchers, undergraduate and graduate students in mathematics and mathematical physics.
Дополнительное описание: Semigroups and their generators.- Classes of compact operators.- Trace inequalities.- Gibbs semigroups.- Product formulae for Gibbs semigroups.- Product formulae in symmetrically-normed ideals.- Product formulae in Dixmier ideal.- Appendix A. Spectra of c



Semigroups of Operators -Theory and Applications

Автор: Jacek Banasiak; Adam Bobrowski; Miros?aw Lachowicz
Название: Semigroups of Operators -Theory and Applications
ISBN: 3319383736 ISBN-13(EAN): 9783319383736
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community.

Semigroups, Algebras and Operator Theory

Автор: P G Romeo; John. C Meakin; A R Rajan
Название: Semigroups, Algebras and Operator Theory
ISBN: 8132224876 ISBN-13(EAN): 9788132224877
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book discusses recent developments in semigroup theory and its applications in areas such as operator algebras, operator approximations and category theory.

Markov Operators, Positive Semigroups and Approximation Processes

Автор: Francesco Altomare, Mirella Cappelletti, Vita Leon
Название: Markov Operators, Positive Semigroups and Approximation Processes
ISBN: 3110372746 ISBN-13(EAN): 9783110372748
Издательство: Walter de Gruyter
Цена: 26024.00 р.
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Описание: This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes. These mathematical objects are generated by arbitrary Markov operators acting on spaces of continuous functions defined on compact convex sets; the study of the interrelations between them constitutes one of the distinguishing features of the book. Among other things, this theory provides useful tools for studying large classes of initial-boundary value evolution problems, the main aim being to obtain a constructive approximation to the associated positive C0-semigroups by means of iterates of suitable positive approximating operators. As a consequence, a qualitative analysis of the solutions to the evolution problems can be efficiently developed. The book is mainly addressed to research mathematicians interested in modern approximation theory by positive linear operators and/or in the theory of positive C0-semigroups of operators and evolution equations. It could also serve as a textbook for a graduate level course.

Topics in operator semigroups

Автор: Kantorovitz, Shmuel
Название: Topics in operator semigroups
ISBN: 081764931X ISBN-13(EAN): 9780817649319
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato`s unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone`s representation of unitary semigroups.

Gibbs Semigroups

Автор: Zagrebnov Valentin A.
Название: Gibbs Semigroups
ISBN: 3030188795 ISBN-13(EAN): 9783030188795
Издательство: Springer
Цена: 18167.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book focuses on the theory of the Gibbs semigroups, which originated in the 1970s and was motivated by the study of strongly continuous operator semigroups with values in the trace-class ideal.

Harmonic Analysis on Semigroups

Автор: C. van den Berg; J. P. R. Christensen; P. Ressel
Название: Harmonic Analysis on Semigroups
ISBN: 0387909257 ISBN-13(EAN): 9780387909257
Издательство: Springer
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Цена: 8378.00 р.
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Описание: All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk" is positive definite for all finite choices of elements St, .

Semigroups, Boundary Value Problems and Markov Processes

Автор: Kazuaki Taira
Название: Semigroups, Boundary Value Problems and Markov Processes
ISBN: 3642073719 ISBN-13(EAN): 9783642073717
Издательство: Springer
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Цена: 12577.00 р.
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Описание: The purpose of this book is to provide a careful and accessible account along modern lines of the subject wh ich the title deals, as weIl as to discuss prob- lems of current interest in the field. Unlike many other books on Markov processes, this book focuses on the relationship between Markov processes and elliptic boundary value problems, with emphasis on the study of analytic semigroups. More precisely, this book is devoted to the functional analytic approach to a class of degenerate boundary value problems for second-order elliptic integro-differential operators, called Waldenfels operators, whi: h in- cludes as particular cases the Dirichlet and Robin problems. We prove that this class of boundary value problems provides a new example of analytic semi- groups both in the LP topology and in the topology of uniform convergence. As an application, we construct a strong Markov process corresponding to such a physical phenomenon that a Markovian particle moves both by jumps and continuously in the state space until it "dies" at the time when it reaches the set where the particle is definitely absorbed. The approach here is distinguished by the extensive use of the techniques characteristic of recent developments in the theory of partial differential equa- tions. The main technique used is the calculus of pseudo-differential operators which may be considered as a modern theory of potentials.

Nonlinear Evolution Operators and Semigroups

Автор: Nicolae H. Pavel
Название: Nonlinear Evolution Operators and Semigroups
ISBN: 3540179747 ISBN-13(EAN): 9783540179740
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. This research monograph shows that a large class of PDE's can be studied via the semigroup approach.

Semigroups, Boundary Value Problems and Markov Processes

Автор: Kazuaki Taira
Название: Semigroups, Boundary Value Problems and Markov Processes
ISBN: 3662517590 ISBN-13(EAN): 9783662517598
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The author studies a general class of elliptic boundary value problems for second-order, Waldenfels integro-differential operators in partial differential equations and proves that this class of elliptic boundary value problems provides a general class of Feller semigroups in functional analysis.

Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Автор: Alberto Cialdea; Vladimir Maz`ya
Название: Semi-bounded Differential Operators, Contractive Semigroups and Beyond
ISBN: 3319045571 ISBN-13(EAN): 9783319045573
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This trail-blazing treatment of a new and emerging topic sets out the authors` own research into differing interpretations of the semi-boundedness of partial differential operators. It examines function spaces that include the Hilbert and Banach varieties.

Positive Operator Semigroups

Автор: Andr?s B?tkai; Marjeta Kramar Fijav?; Abdelaziz Rh
Название: Positive Operator Semigroups
ISBN: 331942811X ISBN-13(EAN): 9783319428116
Издательство: Springer
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Цена: 9362.00 р.
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Описание: This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications.

Operator semigroups meet complex analysis, harmonic analysis and mathematical physics

Название: Operator semigroups meet complex analysis, harmonic analysis and mathematical physics
ISBN: 3319184938 ISBN-13(EAN): 9783319184937
Издательство: Springer
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Цена: 22359.00 р.
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Описание:

This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrodinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor.

The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event.

They will be a valuable and inspiring source of information for graduate students and established researchers.


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